Hopf algebras and topological recursion
João Esteves · Proceedings of symposia in pure mathematics · 2018
We consider a model for topological recursion based on the Hopf Algebra of planar binary trees of Loday and Ronco.We show that extending this Hopf Algebra by identifying pairs of nearest neighbor leaves and thus producing graphs with loops we obtain the full recursion formula of Eynard and Orantin.